Prove or Disprove $$\text { If } f ( n ) = n ^ { 2 } - n + 17 \text {, then } f ( n ) \text { is prime for all positive integers } n \text {. }$$

Short Answer

Prove or disprove: $$\text { If } f ( n ) = n ^ { 2 } - n + 17 \text {, then } f ( n ) \text { is prime for all positive integers } n \text {. }$$